Search a number
-
+
99527872324608 = 21033713417313217
BaseRepresentation
bin10110101000010100100011…
…011110011010010000000000
3111001101202211112210121111000
4112220110203132122100000
5101021131040303341413
6551402250124052000
726651436313130310
oct2650244336322000
9431352745717430
1099527872324608
11297925962717a2
12b1b5203094000
13436c590632550
141a81263625440
15b78e35ad3073
hex5a852379a400

99527872324608 has 1408 divisors, whose sum is σ = 376740764144640. Its totient is φ = 25256169308160.

The previous prime is 99527872324579. The next prime is 99527872324633. The reversal of 99527872324608 is 80642327872599.

99527872324608 is a `hidden beast` number, since 9 + 9 + 5 + 2 + 7 + 8 + 7 + 2 + 3 + 2 + 4 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7530285616 + ... + 7530298832.

Almost surely, 299527872324608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99527872324608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188370382072320).

99527872324608 is an abundant number, since it is smaller than the sum of its proper divisors (277212891820032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99527872324608 is a wasteful number, since it uses less digits than its factorization.

99527872324608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13380 (or 13356 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 99527872324608 in words is "ninety-nine trillion, five hundred twenty-seven billion, eight hundred seventy-two million, three hundred twenty-four thousand, six hundred eight".